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Finding the Fourth Proportional to 11,712.66, 17,520.36 and 8,918.16

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Solution

The fourth proportional to 11,712.66, 17,520.36 and 8,918.16 is: 13,340.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.66 : 17,520.36 = 8,918.16 : x
  2. Step 2: Convert to fraction form
    11,712.66/17,520.36 = 8,918.16/x
  3. Step 3: Cross multiply
    11,712.66x = 17,520.36 × 8,918.16
  4. Step 4: Simplify right side
    11,712.66x = 156,249,373.74
  5. Step 5: Solve for x
    x = 156,249,373.74/11,712.66
  6. Step 6: Final answer
    x = 13,340.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.